New Vessel Extraction Method by Using Skew Normal Distribution for MRA Images

Stats Pub Date : 2024-02-23 DOI:10.3390/stats7010013
Tohid Bahrami, H. J. Khamnei, M. Lakestani, B. G. Kibria
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Abstract

Vascular-related diseases pose significant public health challenges and are a leading cause of mortality and disability. Understanding the complex structure of the vascular system and its processes is crucial for addressing these issues. Recent advancements in medical imaging technology have enabled the generation of high-resolution 3D images of vascular structures, leading to a diverse array of methods for vascular extraction. While previous research has often assumed a normal distribution of image data, this paper introduces a novel vessel extraction method that utilizes the skew normal distribution for more accurate probability distribution modeling. The proposed method begins with a preprocessing step to enhance vessel structures and reduce noise in Magnetic Resonance Angiography (MRA) images. The skew normal distribution, known for its ability to model skewed data, is then employed to characterize the intensity distribution of vessels. By estimating the parameters of the skew normal distribution using the Expectation-Maximization (EM) algorithm, the method effectively separates vessel pixels from the background and non-vessel regions. To extract vessels, a thresholding technique is applied based on the estimated skew normal distribution parameters. This segmentation process enables accurate vessel extraction, particularly in detecting thin vessels and enhancing the delineation of vascular edges with low contrast. Experimental evaluations on a diverse set of MRA images demonstrate the superior performance of the proposed method compared to previous approaches in terms of accuracy and computational efficiency. The presented vessel extraction method holds promise for improving the diagnosis and treatment of vascular-related diseases. By leveraging the skew normal distribution, it provides accurate and efficient vessel segmentation, contributing to the advancement of vascular imaging in the field of medical image analysis.
利用偏斜正态分布提取 MRA 图像中血管的新方法
血管相关疾病对公共卫生构成重大挑战,是导致死亡和残疾的主要原因。了解血管系统的复杂结构及其过程对于解决这些问题至关重要。医学成像技术的最新进展使得血管结构的高分辨率三维图像得以生成,从而产生了一系列不同的血管提取方法。以往的研究通常假定图像数据呈正态分布,而本文介绍了一种新颖的血管提取方法,该方法利用倾斜正态分布进行更精确的概率分布建模。该方法首先要进行预处理,以增强血管结构并减少磁共振血管造影 (MRA) 图像中的噪声。斜正态分布以其对偏斜数据的建模能力而著称,随后被用来描述血管的强度分布。通过使用期望最大化(EM)算法估计倾斜正态分布的参数,该方法能有效地将血管像素从背景和非血管区域中分离出来。为了提取血管,根据估计的倾斜正态分布参数应用了阈值技术。这种分割过程能准确提取血管,特别是在检测细血管和增强低对比度血管边缘的划定方面。在一组不同的 MRA 图像上进行的实验评估表明,与以前的方法相比,所提出的方法在准确性和计算效率方面都有卓越的表现。所提出的血管提取方法有望改善血管相关疾病的诊断和治疗。通过利用倾斜正态分布,该方法提供了准确、高效的血管分割,为医学图像分析领域血管成像的进步做出了贡献。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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